Stability results for the KdV equation with time-varying delay
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Publication:6174061
DOI10.1016/j.sysconle.2023.105547zbMath1520.93447OpenAlexW4390784984MaRDI QIDQ6174061
Chahnaz Zakia Timimoun, Julie Valein, Hugo Parada
Publication date: 13 July 2023
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://hal.science/hal-03819356
Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Delay control/observation systems (93C43) Exponential stability (93D23)
Cites Work
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- Asymptotic behavior of solutions for the time-delayed Kuramoto-Sivashinsky equation
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Exponential stability of the wave equation with boundary time-varying delay
- Stability of the heat and of the wave equations with boundary time-varying delays
- Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane
- Semigroups of linear operators and applications to partial differential equations
- Asymptotic behavior of solutions of time-delayed Burgers' equation
- Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory
- Two stability results for the Kawahara equation with a time-delayed boundary control
- Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach
- On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback
- Decay rate estimates for a weak viscoelastic beam equation with time-varying delay
- Control of a Korteweg-de Vries equation: a tutorial
- Robustness of constant-delay predictor feedback for in-domain stabilization of reaction-diffusion PDEs with time- and spatially-varying input delays
- Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
- Delayed stabilization of the Korteweg-de Vries equation on a star-shaped network
- Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Stabilization of the Korteweg-de Vries equation with localized damping
- Global Well-Posedness of the KdV Equation on a Star-Shaped Network and Stabilization by Saturated Controllers
- Two Approaches for the Stabilization of Nonlinear KdV Equation With Boundary Time-Delay Feedback
- An initial-boundary-value problem that approximates the quarter-plane problem for the Korteweg-de Vries equation
